Alright so you need to put this equation in slope-intercept form. So you flip the x across the = sign and switch the sign to get 6y=-x+8.
Then you need y by itself so you divide everything by 6. Which gets you y=-1/6x+8/6.
Now simplify
y=-1/6x+4/3 or y=-1/6x+.75
(4/3 =.75)
Answer:
2468.11 dollars
Step-by-step explanation:
Amount that should be available after four years =3000 $
Interest rate = 5%
No of years =4
Let P be the principal invested
Then 
Hence 2468.11 dollars should be deposited to get 3000 dollars after 4 years at 5% interest.
Answer:
Step-by-step explanation:
Question says that it uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides. Putting this into equation, we have something like this.
120 = L + 2W
Where
LW = area.
Again, in order to maximize the area with the given fencing, from the equation written above, then Width, w must be = 30 feet and length, l must be = 60
On substituting, we have
A = LW = (120 - 2W) W
From the first equation, making L the subject of the formula, we have this
L = 120 - 2W, which then we substituted above.
On simplification, we have
L = 120W -2W²
Differentiating, we have
A' = 120 - 4W = 0
Remember that W = 30
So therefore, L = 120 - 2(30) = 60 feet
Answer: $1040
A = P + I
A = Total
P = Principal
I = Interest
First find the total amount
A = 640(4)(9)
A = 23040
Plug In the Numbers
23040 = 22000 + I
Substract 22000 on both sides
I = $1040
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
Total watches in an inventory = 1000
Number of shipments sent out = 168, 231, 411
So, Remaining inventory of watches would be :

New receipts = 21, 145 and 11
So, Number of watches on hand becomes :

Hence, Third option is correct.